From 3aee2fd43e3059a699af2b63c6f2395e5a55e515 Mon Sep 17 00:00:00 2001 From: KatolaZ Date: Wed, 27 Sep 2017 15:06:31 +0100 Subject: First commit on github -- NetBunch 1.0 --- doc/bet_dependency.md | 78 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 78 insertions(+) create mode 100644 doc/bet_dependency.md (limited to 'doc/bet_dependency.md') diff --git a/doc/bet_dependency.md b/doc/bet_dependency.md new file mode 100644 index 0000000..c471b9e --- /dev/null +++ b/doc/bet_dependency.md @@ -0,0 +1,78 @@ +bet_dependency(1) -- Compute the betweenness dependency of nodes +====== + +## SYNOPSIS + +`bet_dependency` [ []] + + +## DESCRIPTION + +`bet_dependency` computes the betweenness dependency of all the nodes +of an undirected graph provided as input. The program implements the +algorithm by U. Brandes, and computes the betweenness dependency using +all the shortest paths originating from the subset of the nodes of the +graph whose labels are in the interval [, ]. If + is not given, the last label of the graph is assumed. If + is not given, use the shortest paths originating from all +the nodes of the graph. + +## PARAMETERS + +* : + input graph (edge list) if equal to `-` (dash), read the edge list + from STDIN. + +* : + The label of the first node in a sequence of nodes. + +* : + The label of the last node in a sequence of nodes. + + +## OUTPUT + +`bet_dependency` prints on the standard output (STDOUT) the +betweenness dependency score of all the nodes, starting from the node +with label 0, one per line. + + +## EXAMPLES + +The following command: + + $ bet_dependency er_1000_5000.txt + +computes the betweenness dependency of all the nodes of the graph +`er_1000_5000.txt`, using all the shortest paths, and prints the +result on the standard output (STOUT). + +The command: + + $ bet_dependency er_1000_5000.txt 100 200 >node_bet_dep + +will compute the betweenness dependency of the nodes in the graph +`er_1000_5000.txt`, based only on the shortest paths originating from +the nodes whose labels are in the range [100,200]. The results will be +saved in the file `node_bet_dep`. + +## SEE ALSO + +betweenness(1), shortest(1) + +## REFERENCES +* U\. Brandes. "A Faster Algorithm for Betweenness Centrality". + J\. Math. Sociol. 25 (2001), 163-177. + +* V\. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, + Methods and Applications", Chapter 6, Cambridge University Press + (2017) + +* V\. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, + Methods and Applications", Appendix 7, Cambridge University Press + (2017) + + +## AUTHORS + +(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 ``. -- cgit v1.2.3